105-20001-MT1 (1) - PROBLEM [I] [25 points} At time t = D a...

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Unformatted text preview: PROBLEM [I] [25 points} At time t = D a model rueltet A fired vertically from the ground ascends [gees up; climbs up} with a constant. vertical, upward aeeeleratien E i'er 5 s. lts fuel is then finished. se it euntinues as a, free—Fall particle and then falls back down. At time t = | 3 {one second} a small belt is drnpped frum the side ed the racket, thereafter the belt moves as afieevfeli particle. and 2 s iater it strikes the gmund. [g = 10 Intel} {a} Calculate a. the magnitude of the reeitet's aeeeleratien. y a Tar. aaitaemeamanwaa If“. t“: it nwflmmnfrfl_fnllpaxh _ ll {35:15 lfl-flli‘fiflm ttflir all lit—=55 'fi'flfi‘fit +“lz'1t1 *‘l I - .. n L I! U" a 5‘ flfi'fl gE-jfleegtiE4-lit-ab‘leae it} Fermahelt hem deed- ‘ifl : fl£15}#[5n4f51.]{3_5}1. l‘l Use-“ml: {5:15 a.“ 'J' Hf +111; salts'} “E‘EHQ'd'I-ilmls" ~: a en E Efirqnw‘lfl tat-*0 A E'Grcmnd a r533. _ .L way-Hts“? ELEM: {h} Caleul ate the altitude H reached by the rocket when its fuel is finished {at time t = 5 s}. Erharedefl flew. Flth wwwsw 1 '5' '1'" {Cl W113i i5 the lflifll lime Pr Elapsed from takeoff (I = fl} until the rocket strikes the ground? 'Tlvu. racket. amfllfiaiC-a {rt-+14 “'1‘ 49C {9" 55 i “the C. it van-Lehman a free—fin“, Pew-Heli- 'L MM; em = ttuhhteufsetfite trengtrat Sta-tet-Iea=o = ‘° t = “its thee-10:0 U; AM L is an i E: Ehwwmflifi fie‘ifiella t|}1:"_'_-_E___—— 2. Ffl'r'fltereekflfiemti-HE: =32?" H‘lila=u;t+Jffit1 -'- teEzlflE J5 t. = I le-E-ljg:l‘llittEll-l£{_§lti-E fT=tae+t¢E 55+ 05 Phys F05 First Midterm Page 3 Get 2'3. 2W0 PROBLEM (s) {25 points} A partiele P travels with constant speed v on a circle of radius R. [The +.: axis is direeted out at the page} The particle passes throu h t? at time t = D in eonnrereinektvr'se F 3;: 1:51 direction and has it pert T. '1 [a] With respect to £3. finfi the particle's position veetor F at time 3 T r = T. l[live your result in terms of unit vectors and given FEEEEHEIEI'S. At stile hi; JMth'elets at empress F”: 1" :‘l. "we: at A -a (It) C'sieulste the settler protiuet F -F where F and s are. respectively, the position and ‘u'tlDCitj' vectors of the particle at time t = Give your result in terms of given parameters. Athf==EJThepmHeleW DH... Ptrmgi; wetsuit-.1 is pi=—trE e=rs +ql- =er Far? = {RE-Hij‘lui—LTE) all! =Mmtjiebehsee4FMiF=flE' p2 p.“ :‘Em Css¢=cmtss‘=-msvs‘=-% *-I *—l r-Lr spews—1}) to] Calculate the vector product is F where a and F are. respectively. the seeelerstien and [Intuition vectors of the particle at time t = lGive your result in terms of unit vectors and given parameters. sewtfifflmwte-t set E: as? __, Cures-i5 flees.thth La. 5": -fl.j e-g’j '35 :EE?M“W Emile EIEi'H-I'EEH Rated-F HW={-%jisifiitflll sit¢=Mtsst=wss‘=% = - v‘tpti riot—lo c = {games—“E; = s1 as"? = U1;- Tlrut. risk! head mine 31s.: lined-idiom DIE 55's? tem+ssweessu.Hm—.t {ill Where is the particle if F -F = I]? Where is the partiele if EstF = fl? Give the coordinates of the particle in terms of given parameters. RF :3 —1 Fee 4;.- Fill; ~s Tit-t Wskéfliflwflifiisiwmflp=fi Ht“ eel {Eels} whore Fifi. as £F=ij ——} r‘:fi|t}r MPH-“idiot am e; {oroijFr-‘lpo or :11 {lflffill} NWE EL" ems F" HME Witt. dwtefisns . Phys H15 First Midi-ems Pages! 0:! 11'. m PROBLEM [3} [25 paints) Twe airplanes, A and B, mnve in a vertical plane aleng heriaenla! paths separated by 164!) nt. Airplanes A and B have e‘flflfl'flm'. herisearttl veleeities of 111:! We and 60 rats. respectively. The airplane 3 files under the airplane A at an altitude of mm m. The airplane H releases a package [P] at rim: ; = fl. and at the same instant the airplane A isjust vertically above the airplane E. {g = lfl W's?) {a} At time I = E 5 find Fm. the valuein {If [he package relative tn the. ground. Give your result in unit.— veeter nelatinn. _ Retean la up 5"? Sewer m JfWHd The, Fax Hal-E; Isn me Malian Hazel-Ila. tun-4113.1. ________+___. I ._.-I| “:1- I: "I. tra‘wm {a —c:} 1 L.-" =Ui=+lhflfilfl£ {b} At time l‘ = 3 5 find 5“ . the veleeitv ef the package relative to the plane .4. Give vent reault in unit- veeter natalien. —l ,4 -H _--'.L —I- #1 UEflT-L wan :- UG :- +£EGHFE‘JE—{gflMrE-:lj “(la-DHIIEEL .Fh‘ 1 “Pa = *{éfl Me 3? ~ {EC-“MI {C} M time I: 3 a find E. the disrenee between the package P and plane A; 14,": twig. lat—3 5 iMpaaha-{rc v3 aifizEJHP39r-tda1‘hd '— 1H1; = ext —;9 a; renames} -=: x: “W rich elm-Le. {1:165 1 ‘l‘eepleata fl t3: rd [1th fight-thw- s. 776’, = L’EH‘L _+ a: {Immrgtfflt‘l-fi xi: atom fj :t‘r'a-W-u-h-llmm a 3A:”ggu fi- = = Jfiffimj1+tqgflmll _§ M! Fey: 1" I35 Firsr Midterm Page 5 Ger 2}. ELISE] PRUELEM [4} (25 points} A string passes over a pulley attached to the ceilin .A mass m1 hangs from one end of this string” and a second pulley hangs from the other end. A. secon string passes over the secand pulley. and a mass m; hangs from one end of this string. whereas the other end is attached firmly to the ground. The pulleys are frictionless and massless. The system is released from rest and the mass H12 accelerates downward. [a] Draw separate free-body diagrams: {E} for with {ii} for m2, and {iii} for the second puliey ICeiling _ I _j ' 7—3 .4, ' T. a T m. m1 Rgfim-ad pulletf -.lII ‘-"ll' Mi —1I T1 T; s m a 13 it) {ii} {iii} [it] Find a; , a2 and up. the accelerations of masses mi , m1 and the second pulley. respectively. Give your results in tens of the gravitational acceleration g and given parameters. l-E'trh hilt. 'l'i‘LtL t1£lasefiitdaa Pot-rifles; Md writ, The, 1“ [mar adopt? 59-! Mr 5 ML staid "ls-J. SELF-dd pmlletf. LQJLIEM aL=lfil Iii-1| fin-ltd l jfiLE-HI?=HIHI+HHLG& l m = EHLH'MI‘} Form. '. "|'|-M13 = Mlfi E"- ‘ML l M11} ‘1‘: 7-" Midi 1 hawk?" QTL‘TFD —t~Tl=aTL HMHMI H I mLflfi-lq lTl—mla a min, I antral ‘3» if M131 A TL : “Lat 51 _ Lissa-'Eflt '1' ‘lme 'l'M'l fl} Ali—M1“; '-"'"'"||'9l: + iii-“1E4 :- ll'fl-LQL GP: 1“ E 1ML-—M| Meg-Mtg» = Miol +zm1ctl~+h® fish-a. Lianne? Welly-ova ea. chitin-«ea. JJMMMLW actuaa new“, 1d.‘i'laaae{5vie Phys 1415 Ft'rsrhi'idrerrn Page :5 Ger 2!. coco ...
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105-20001-MT1 (1) - PROBLEM [I] [25 points} At time t = D a...

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